Dynamic Simulation of Distribution Networks Using Multi-stage Discontinuous Galerkin Method  

作　　者：Ruizhi Yu Wei Gu Weiqi Liu Peixin Li Wei Liu 

机构地区：[1]School of Electrical Engineering,Southeast University,Nanjing 210096,China. [2]the School of Electrical Engineering,Southeast University,Nanjing 210096,China [3]School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China

出　　处：《CSEE Journal of Power and Energy Systems》2024年第1期185-196,共12页中国电机工程学会电力与能源系统学报（英文）

摘　　要：Dynamic simulation plays a fundamental role in security evaluation of distribution networks(DNs).However,the strong stiffness and non-linearity of distributed generation(DG)models in DNs bring about burdensome computation and noteworthy instability on traditional methods which hampers the rapid response of simulation tool.Thus,a novel L-stable approximate analytical method with high accuracy is proposed to handle these problems.The method referred to as multistage discontinuous Galerkin method(MDGM),first derives approximate analytical solutions(AASs)of state variables which are explicit symbolic expressions concerning system states.Then,in each time window,it substitutes values for symbolic variables and trajectories of state variables are obtained subsequently.This paper applies MDGM to DG models to derive AASs.Local-truncation-error-based variable step size strategy is also developed to further improve simulation efficiency.In addition,this paper establishes detailed MDGM-based dynamic simulation procedure.From case studies on a numerical problem,a modified 33-bus system and a practical large-scale DN,it can be seen that proposed method demonstrates fast and dependable performance compared with the traditional trapezoidal method.

关 键 词：Approximate analytical method distribution network distributed generation dynamic simulation multi-stage discontinuous Galerkin method variable step size 

分 类 号：TM743[电气工程—电力系统及自动化]